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Finding the Third Proportional to 98,896 and 125,304

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Solution

The third proportional to 98,896 and 125,304 is: 158,763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,896 : 125,304 = 125,304 : x
  2. Step 2: Convert to fraction form
    98,896/125,304 = 125,304/x
  3. Step 3: Cross multiply
    98,896x = 125,304 × 125,304
  4. Step 4: Simplify right side
    98,896x = 15,701,092,416
  5. Step 5: Solve for x
    x = 15,701,092,416/98,896
  6. Step 6: Final answer
    x = 158,763.68

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.